2 citations · 2 across the 3 of their papers we have counts for
9 papers · 1 filter
A note on smoothly slice links in
Marco Marengon, Clayton McDonald
We give an alternative proof of a result of Miyazaki and Yasuhara that there exists links that are not smoothly slice in . We discuss potential applications to the…
Correction terms of double branched covers and symmetries of immersed curves
Jonathan Hanselman, Marco Marengon, Biji Wong
We use the immersed curves description of bordered Floer homology to study -invariants of double branched covers of arborescent links . We define a new i…
Splitting links by integer homology spheres
Marco Golla, Marco Marengon
For every , we construct 2-component links in that are a split by an integer homology -sphere, but not by . In the special case , i.e. that of 2-lin…
Smoothly slice links in
Marco Marengon, Clayton McDonald
We show that there exists a link with 2 components which is not smoothly slice in . By contrast, it is well-known that every knot (i.e.,…
Spectra in Khovanov and knot Floer theories
Marco Marengon, Sucharit Sarkar, Andras Stipsicz
These notes provide an introduction to the stable homotopy types in Khovanov theory (due to Lipshitz-Sarkar) and in knot Floer theory (due to Manolescu-Sarkar). They were written f…
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…